Quantum Gilbert-Varshamov Bound Through Symplectic Self-Orthogonal Codes
Information Theory
2013-08-19 v1 math.IT
Abstract
It is well known that quantum codes can be constructed through classical symplectic self-orthogonal codes. In this paper, we give a kind of Gilbert-Varshamov bound for symplectic self-orthogonal codes first and then obtain the Gilbert-Varshamov bound for quantum codes. The idea of obtaining the Gilbert-Varshamov bound for symplectic self-orthogonal codes follows from counting arguments.
Keywords
Cite
@article{arxiv.1308.3578,
title = {Quantum Gilbert-Varshamov Bound Through Symplectic Self-Orthogonal Codes},
author = {Lingfei Jin and Chaoping Xing},
journal= {arXiv preprint arXiv:1308.3578},
year = {2013}
}